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Finding the Third Proportional to 184,555 and 284,998

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Solution

The third proportional to 184,555 and 284,998 is: 440,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,555 : 284,998 = 284,998 : x
  2. Step 2: Convert to fraction form
    184,555/284,998 = 284,998/x
  3. Step 3: Cross multiply
    184,555x = 284,998 × 284,998
  4. Step 4: Simplify right side
    184,555x = 81,223,860,004
  5. Step 5: Solve for x
    x = 81,223,860,004/184,555
  6. Step 6: Final answer
    x = 440,106.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.